On a neutral delay logistic equation

Dynamics and Stability of Systems

Volumn 2, Issue 3-4, 1988, Pages 183-195

  Gopalsamy, K ^a   Zhang, B G ^a  

^a FLINDERS UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003375580     PISSN: 02681110     EISSN: 14653389     Source Type: Journal    
DOI: 10.1080/02681118808806037     Document Type: Article

References (13)

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2. Datko, R. (1983) An example of an unstable neutral differential equation. International Journal of Control 38, 263–267.
3. Gopalsamy, K. (1986) On the global attractivity in a generalised delay logistic differential equation. Mathematical Proceedings of the Cambridge Philosophical Society 100, 183–192; Corrigenda. Ibid. 102, 191.
4. Gromova, P. S. (1967) Stability of solutions of nonlinear equations of the neutral type in the asymptotically critical case. Mathematical Notes 1, 472–479.
5. Hale, J. K. (1977) Theory of Functional Differential Equations (Springer, New York).
6. Jones, G. S. (1962) On the nonlinear differential difference equation f’(x) = ~af(x - i)[1 +/(x)]. Journal of Mathematical Analysis and Applications 4, 440–469.
7. Kakutani, S. and Markus, L. (1958) On the nonlinear difference differential equation y’(t) = [A - By(t -τ)]y(t). Contributions to the Theory of Nonlinear Oscillations (University Press, Princeton).
8. Kurbatov, V. G. (1986) An example in the theory of stability of equations with delay. Mathematicheskii Zametki 39, 253–259.
9. Pielou, E. C. (1977) Mathematical Ecology (Wiley Interscience, New York).
10. Smith, F. E. (1963) Population dynamics in Daphnia magna. Ecology 44, 651–663.
11. Snow, W. (1965) Existence, uniqueness and stability for nonlinear differential difference equations in the neutral case. N.Y.U. Courant. Inst. Math. Sci. Rep. IMM-NYU, 328.
12. Wright, E. M. (1955) A nonlinear difference-differential equation. Journal fur die Reine und Angewandte 66–87.
13. Zhang, B. G. and Gopalsamy, K. (1987) Global attractivity in the delay-logistic equation with variable parameters. Mathematical Proceedings of the Cambridge Philosophical Society submitted.